4968574923312 has 1440 divisors, whose sum is σ = 20658498771456. Its totient is φ = 1121027973120.

The previous prime is 4968574923311. The next prime is 4968574923313. The reversal of 4968574923312 is 2133294758694.

4968574923312 is a `hidden beast` number, since 4 + 9 + 6 + 8 + 574 + 9 + 23 + 31 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4968574923311) and next prime (4968574923313).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4968574923312.

It is not an unprimeable number, because it can be changed into a prime (4968574923311) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 727779643 + ... + 727786469.

Almost surely, 2^{4968574923312} is an apocalyptic number.

4968574923312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4968574923312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10329249385728).

4968574923312 is an abundant number, since it is smaller than the sum of its proper divisors (15689923848144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4968574923312 is a wasteful number, since it uses less digits than its factorization.

4968574923312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6909 (or 6880 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 4968574923312 in words is "four trillion, nine hundred sixty-eight billion, five hundred seventy-four million, nine hundred twenty-three thousand, three hundred twelve".